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Finding the Fourth Proportional to 17,196.75, 23,732.24 and 9,744.75

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Solution

The fourth proportional to 17,196.75, 23,732.24 and 9,744.75 is: 13,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,196.75 : 23,732.24 = 9,744.75 : x
  2. Step 2: Convert to fraction form
    17,196.75/23,732.24 = 9,744.75/x
  3. Step 3: Cross multiply
    17,196.75x = 23,732.24 × 9,744.75
  4. Step 4: Simplify right side
    17,196.75x = 231,264,697.02
  5. Step 5: Solve for x
    x = 231,264,697.02/17,196.75
  6. Step 6: Final answer
    x = 13,448.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.